Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75348l |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
34920391064832 = 28 · 36 · 7 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463440,-121433132] |
[a1,a2,a3,a4,a6] |
Generators |
[17074:742365:8] |
Generators of the group modulo torsion |
j |
58984345526272000/187116293 |
j-invariant |
L |
7.0402471469761 |
L(r)(E,1)/r! |
Ω |
0.18297900365266 |
Real period |
R |
6.4126183911587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372g1 |
Quadratic twists by: -3 |